What is the Least Common Multiple of 88357 and 88373?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 88357 and 88373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88357 and 88373, than apply into the LCM equation.

GCF(88357,88373) = 1
LCM(88357,88373) = ( 88357 × 88373) / 1
LCM(88357,88373) = 7808373161 / 1
LCM(88357,88373) = 7808373161

Least Common Multiple (LCM) of 88357 and 88373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88357 and 88373. First we will calculate the prime factors of 88357 and 88373.

Prime Factorization of 88357

Prime Factorization of 88373

Now multiplying the highest exponent prime factors to calculate the LCM of 88357 and 88373.

LCM(88357,88373) = 149¹ × 593¹ × 67¹ × 1319¹
LCM(88357,88373) = 7808373161